{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# In Depth: Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Support vector machines (SVMs) are a particularly powerful and flexible class of supervised algorithms for both classification and regression.\n",
    "In this chapter, we will explore the intuition behind SVMs and their use in classification problems.\n",
    "\n",
    "We begin with the standard imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motivating Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As part of our discussion of Bayesian classification (see [In Depth: Naive Bayes Classification](05.05-Naive-Bayes.ipynb)), we learned about a simple kind of model that describes the distribution of each underlying class, and experimented with using it to probabilistically determine labels for new points.\n",
    "That was an example of *generative classification*; here we will consider instead *discriminative classification*. That is, rather than modeling each class, we will simply find a line or curve (in two dimensions) or manifold (in multiple dimensions) that divides the classes from each other.\n",
    "\n",
    "As an example of this, consider the simple case of a classification task in which the two classes of points are well separated (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "X, y = make_blobs(n_samples=50, centers=2,\n",
    "                  random_state=0, cluster_std=0.60)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A linear discriminative classifier would attempt to draw a straight line separating the two sets of data, and thereby create a model for classification.\n",
    "For two-dimensional data like that shown here, this is a task we could do by hand.\n",
    "But immediately we see a problem: there is more than one possible dividing line that can perfectly discriminate between the two classes!\n",
    "\n",
    "We can draw some of them as follows; the following figure shows the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plt.plot([0.6], [2.1], 'x', color='red', markeredgewidth=2, markersize=10)\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These are three *very* different separators which, nevertheless, perfectly discriminate between these samples.\n",
    "Depending on which you choose, a new data point (e.g., the one marked by the \"X\" in this plot) will be assigned a different label!\n",
    "Evidently our simple intuition of \"drawing a line between classes\" is not good enough, and we need to think a bit more deeply."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support Vector Machines: Maximizing the Margin\n",
    "\n",
    "Support vector machines offer one way to improve on this.\n",
    "The intuition is this: rather than simply drawing a zero-width line between the classes, we can draw around each line a *margin* of some width, up to the nearest point.\n",
    "Here is an example of how this might look (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n",
    "                     color='lightgray', alpha=0.5)\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The line that maximizes this margin is the one we will choose as the optimal model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting a Support Vector Machine\n",
    "\n",
    "Let's see the result of an actual fit to this data: we will use Scikit-Learn's support vector classifier (`SVC`) to train an SVM model on this data.\n",
    "For the time being, we will use a linear kernel and set the ``C`` parameter to a very large number (we'll discuss the meaning of these in more depth momentarily):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=10000000000.0, kernel='linear')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC # \"Support vector classifier\"\n",
    "model = SVC(kernel='linear', C=1E10)\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "    \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    # create grid to evaluate model\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    xy = np.vstack([X.ravel(), Y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(X.shape)\n",
    "    \n",
    "    # plot decision boundary and margins\n",
    "    ax.contour(X, Y, P, colors='k',\n",
    "               levels=[-1, 0, 1], alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "    \n",
    "    # plot support vectors\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300, linewidth=1, edgecolors='black',\n",
    "                   facecolors='none');\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the dividing line that maximizes the margin between the two sets of points.\n",
    "Notice that a few of the training points just touch the margin: they are circled in the following figure.\n",
    "These points are the pivotal elements of this fit; they are known as the *support vectors*, and give the algorithm its name.\n",
    "In Scikit-Learn, the identities of these points are stored in the `support_vectors_` attribute of the classifier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.44359863, 3.11530945],\n",
       "       [2.33812285, 3.43116792],\n",
       "       [2.06156753, 1.96918596]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.support_vectors_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A key to this classifier's success is that for the fit, only the positions of the support vectors matter; any points further from the margin that are on the correct side do not modify the fit.\n",
    "Technically, this is because these points do not contribute to the loss function used to fit the model, so their position and number do not matter so long as they do not cross the margin.\n",
    "\n",
    "We can see this, for example, if we plot the model learned from the first 60 points and first 120 points of this dataset (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_svm(N=10, ax=None):\n",
    "    X, y = make_blobs(n_samples=200, centers=2,\n",
    "                      random_state=0, cluster_std=0.60)\n",
    "    X = X[:N]\n",
    "    y = y[:N]\n",
    "    model = SVC(kernel='linear', C=1E10)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    ax = ax or plt.gca()\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    ax.set_xlim(-1, 4)\n",
    "    ax.set_ylim(-1, 6)\n",
    "    plot_svc_decision_function(model, ax)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "for axi, N in zip(ax, [60, 120]):\n",
    "    plot_svm(N, axi)\n",
    "    axi.set_title('N = {0}'.format(N))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the left panel, we see the model and the support vectors for 60 training points.\n",
    "In the right panel, we have doubled the number of training points, but the model has not changed: the three support vectors in the left panel are the same as the support vectors in the right panel.\n",
    "This insensitivity to the exact behavior of distant points is one of the strengths of the SVM model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you are running this notebook live, you can use IPython's interactive widgets to view this feature of the SVM model interactively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ba29c3a8344b463a8848a4a7bfec4da8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=10, description='N', max=200, min=10), Output()), _dom_classes=('widget-…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact, fixed\n",
    "interact(plot_svm, N=(10, 200), ax=fixed(None));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Beyond Linear Boundaries: Kernel SVM\n",
    "\n",
    "Where SVM can become quite powerful is when it is combined with *kernels*.\n",
    "We have seen a version of kernels before, in the basis function regressions of [In Depth: Linear Regression](05.06-Linear-Regression.ipynb).\n",
    "There we projected our data into a higher-dimensional space defined by polynomials and Gaussian basis functions, and thereby were able to fit for nonlinear relationships with a linear classifier.\n",
    "\n",
    "In SVM models, we can use a version of the same idea.\n",
    "To motivate the need for kernels, let's look at some data that is not linearly separable (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_circles\n",
    "X, y = make_circles(100, factor=.1, noise=.1)\n",
    "\n",
    "clf = SVC(kernel='linear').fit(X, y)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf, plot_support=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear that no linear discrimination will *ever* be able to separate this data.\n",
    "But we can draw a lesson from the basis function regressions in [In Depth: Linear Regression](05.06-Linear-Regression.ipynb), and think about how we might project the data into a higher dimension such that a linear separator *would* be sufficient.\n",
    "For example, one simple projection we could use would be to compute a *radial basis function* (RBF) centered on the middle clump:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "r = np.exp(-(X ** 2).sum(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize this extra data dimension using a three-dimensional plot, as seen in the following figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "\n",
    "ax = plt.subplot(projection='3d')\n",
    "ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='autumn')\n",
    "ax.view_init(elev=20, azim=30)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('r');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that with this additional dimension, the data becomes trivially linearly separable, by drawing a separating plane at, say, *r*=0.7.\n",
    "\n",
    "In this case we had to choose and carefully tune our projection: if we had not centered our radial basis function in the right location, we would not have seen such clean, linearly separable results.\n",
    "In general, the need to make such a choice is a problem: we would like to somehow automatically find the best basis functions to use.\n",
    "\n",
    "One strategy to this end is to compute a basis function centered at *every* point in the dataset, and let the SVM algorithm sift through the results.\n",
    "This type of basis function transformation is known as a *kernel transformation*, as it is based on a similarity relationship (or kernel) between each pair of points.\n",
    "\n",
    "A potential problem with this strategy—projecting $N$ points into $N$ dimensions—is that it might become very computationally intensive as $N$ grows large.\n",
    "However, because of a neat little procedure known as the [*kernel trick*](https://en.wikipedia.org/wiki/Kernel_trick), a fit on kernel-transformed data can be done implicitly—that is, without ever building the full $N$-dimensional representation of the kernel projection.\n",
    "This kernel trick is built into the SVM, and is one of the reasons the method is so powerful.\n",
    "\n",
    "In Scikit-Learn, we can apply kernelized SVM simply by changing our linear kernel to an RBF kernel, using the `kernel` model hyperparameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1000000.0)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = SVC(kernel='rbf', C=1E6)\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's use our previously defined function to visualize the fit and identify the support vectors (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf)\n",
    "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
    "            s=300, lw=1, facecolors='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using this kernelized support vector machine, we learn a suitable nonlinear decision boundary.\n",
    "This kernel transformation strategy is used often in machine learning to turn fast linear methods into fast nonlinear methods, especially for models in which the kernel trick can be used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tuning the SVM: Softening Margins\n",
    "\n",
    "Our discussion thus far has centered around very clean datasets, in which a perfect decision boundary exists.\n",
    "But what if your data has some amount of overlap?\n",
    "For example, you may have data like this (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAD0CAYAAAC/3RwjAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA+zElEQVR4nO2dd5wU9fnH37vXC82CgEoRRLBSYu+oFFtEQVC4SEgsUQMqoqIRsaGEWKIJYItRbIiiP2INKBZUUBCwAAKiBARp0u726u7398dz57WZ3b3d2Z2du+f9eu0LbmfnO8/NzX7mO8/3KT5jjEFRFEVJefxuG6AoiqJEhwq2oiiKR1DBVhRF8Qgq2IqiKB5BBVtRFMUjqGAriqJ4hPREDbx48eJEDa0oitKo6d27t+X7CRPscAdtKCtWrKB79+6OjJUMvGSvl2wFb9nrJVvBW/Y2ZlvDTXbVJaIoiuIRVLAVRVE8ggq2oiiKR0ioD7tJ8MMPsGoVHHAAHHaY29YoitKIUcGOlV9+gYsvhk8+gawsKC+Hzp3htdfctkxRlEaKukRiwRjo1w8+/hhKSmDXLggE4Ntv4YQT8BUXu22h0pQJBuHVV+UaPe44uP12+Plnt61SHEBn2LGwYAGsWAFlZbXfD4WgqIjmb70FvXq5Y5vStAkG4bzz4KOPoKhI3lu2DB59VCYYRxzhrn1KXOgMOxYWLoSKCuttRUXkLlyYXHsUpYrp02uLNVQ/BQ4d6p5diiPoDDsWWrWCjAwoLa2/LS2N4N57J9+mxooxMG8ePPecPL306gWdOkF2ttuWpSb//Gdtsa5J1QJ5167JtUlxDBXsWLjgAvjTn6y3ZWWxa+BAVLIdIBiEiy6CuXN/FaE2b7wBjz0mbqnWrV02MAXZts1+W2YmbN+ePFsUx1GXSCy0aAGPPw65ueCvcQrz8mD0aEp1BuMMjz8Oc+bUmjGmBQKwYQP84Q8uGpbCHH987WuyJqWl4JF0bsUaFexYGT4c5s+HSy6Bww+Hc86B//s/mDjRbcsaDw8/LNE3dSkvFyHfsSPpJqU8t9xi7S7KyYHLLoOWLZNukuIc6hKJh549xbeqJIYtW+y3ZWTI43+rVsmzxwsceSTMnAkFBXJj8/lkZn3xxfDII25bp8SJCraSunTrJr5qK4JB2H//5NrjFc4+GzZvljC+PXvg6KOhbVu3rVIcQAVbSV3+8heZGdZ1i+TkiA87N9cdu7xAejqcfrrbVigOoz5sJXU55xy4807xyebnQ04OoawsGDAAHnjAbesUJenoDFtJbW68EX7/e3jjDSgp4Yf27ek8YIDbVimKK6hgK6nP3ntLhANQtmJF7W1lZfDZZ/LvscdC8+YuGJjCLF8Of/+71Lnp2hVGjYIePdy2SokRdYko3uWFFyR55vzzYdAgaNMG7rhDsiMViWD6zW/gqaekquSzz8IJJ8DUqW5bpsSICrbiTebNg8svlxoZu3fLq7gY/vY3eOght61zn+3b5fwUF0tEDci/xcVwww2wfr279ikxEbNgP/bYYwwZMoQLL7yQmTNnOmmTokTm9tutk2oCAbj33mqRaqrMmGGf8WiM5g94lJgEe+HChSxZsoQXX3yR6dOn87PW2lWSzZIl9ttKSmDjxuTZkops22Z9QwNJpNHvrCeJadFx/vz5dO3alWuuuYbCwkJuuukmp+1SlPA0a2YvSBUVuvjYq5ecoz176m9r1kwWaBXPEZNg79ixg40bNzJt2jQ2bNjAn/70J9555x18Pl+tz62ou6IfIyUlJY6NlQy8ZK+XbIVqe/e94AL2evpp/HWaSBi/n6LevVm/caPrs2xXz23HjnRu1oz0oiL8odCvbxufj2BmJmsOOwxTxzYvXQtN1lYTA5MnTzZPPfXUrz+fd955Ztu2bbU+s2jRoliGtmT58uWOjZUMvGSvo7YuWWLM8OHG9OhhzKBBxsyf79zYlfxq7549xhx+uDG5ucaIV9aY7Gxj9tnHmB9+cPy4seDYuQ0EjFm2zJh16xq237p1xhxxhDF5ecY0by7/du1qzOrVlh9vstdtgmmoreG0MyYfdu/evfn4448xxrB582aKi4tpqVXAmjbPPCMhYy+8AEuXSk/Bvn3hvvsSc7z8fPj8c3jwQelb2LMn3HqrtG7r2DExx0w2oZAsru67L5x0EhxyiLg6vv02uv3bt4evvpIONE88Ae+/DytXQpcuibVbSRgxuUROP/10vvjiCwYNGoQxhvHjx5OWlua0bYpX2L4drrpKFvuqMEZ8zHfdJTHSBx/s/HFzcuDKK+XVGLnpJomZrumrX7oUTjxREmLatYtunF69tMdoIyHmTEddaFR+5ZVX7EPIgkFJ2Lj77uTa5HV27pR2XzVvgiA3wuJiyV6cNMkV0xT30MSZxkIw6F6G344d9TvIV1FeHr6utWLNokWQlWW9rawM3n47ufYoKYEKtteZOVNqRGRkSIuyP/4x+X37jj7avilufj6cfHJy7WkM5OWJDzvcdqXJoYLtZR59FEaMgNWrqx+Vn31WBLSwMHl29OkjC1zpdTxsfr8I9qBBybOlsXDMMfY3wbw8STtXmhwq2KnKt99KzYehQ+Ef/5CaGTUJBGDcuPrJI+Xl0m3k6aeTZ6vPJ7U9jjlGFgJbtJDmAocdBp9+ai88TmIMzJ4Np54qUSIDBsCHHyb+uIkiLU0ib3Jz5fxWkZsLRxwhPUWVJocKdipy770yS37kEakJcfPN0KkTfP119Wc+/VS+1FYEAsmvFdG6tVSEW7JEjv3ZZxJS1qlTco4/ZgxceqmEsK1bB++8I62yvNzHcMAAafR8wQWw337i+rr3Xrk5Zma6bZ3iAloPO9VYuFA6rxcXV78XCMjrnHNg9GgRo9JSScG2w60FyEMOkVcy+fprmDat9jkDOWc33SRPKa1bJ9cmp+jZE2bNctsKJUVQwU41Hn20vvBUsX493HabiHU4cnJg2DDnbUtVnnvOPkolLU0E76qrkmuToiQAdYmkGj/8EH52HEmsMzJkNjlypLN2pTI7d9qXUy0rsy6ApCgeRAU71ejVS0S3IWRmSkRGVhZccgl88YVUZGsq9Okj0ShWZGVJZqCiNAJUsFON0aMbLtht2lT7uZ95RmpPNCUGDpS+j3UXYTMz4fDD4fjj3bFLURxGBTvV6NJF/NjR4vNB794yk7RLD2/sZGZK1MyJJ0oIYYsW8m///vDuu9VhccZI8aPFi+unfCuKB9BFx1Tkq68kCSVcFEgVOTkSj93UaddO4q7Xr5dX584SClfF/PnSef3nn+XchkJwyy1S4a9OHXdFSVVSS7AXLpTZ5dq10KMHXHedxJ42Nd59N7xY5+SI2yQUgieflJhtRTjwQHnVZMUK6NevfpLRxInyVKI3PMUjpM4z9H33yeLRiy9K0sUTT0gM6muvuW1Z8gm3YJibKwIzfboUVRoyJHl2eZV77rGOrgkE5LqLFHmjKClCagj2ypVSfjMQqC54U1EhPw8fjq+oyF37ks2VV4owW9GypcRin3++zLSVyMybF76L+sqVybNFUeIgNQT7qaekBoYVfj/N3nsvufa4TUEBHHVUbdH2++XnZ59tuouLsRKusl1FhX1IoKKkGKnxzd+0yd5nW15O2s6dSTXHdTIzZVY4aZIUUDrgAEmvXrgQzjjDbeu8xx//aP800qGDLFAqigdIDcE+8UT7WVBGBiWHHppce+Jh2TKavf22iGs89TyysuDaa+GbbyTq4fnnJaZYaTjXXiuiXFO009JkZv3MM+7ZpSgNJDUEe/hwEai64VXp6dCxI8W9e7tjV0P46SdZJD3xRNqOHw9nnikRLt9957Zl3mXPHmnm+8ILcn5jJS8PFiyQ/pLduskTy+9+B19+KSVhFcUjpEZYX7Nm8PHHcO65sHWr+GgrKmRGOXs2/PKL2xaGJxSC006TOiDBIL/m233/vXRbWbfO/QXCsjIJb8vOlhtJqsUeFxVJSOcTT8j/999fGs1mZMiTSkWF3NhHj5bPGyNPMf/+t9QS6dtX3EZ2i7V5eXDjjfJSFI+SGoINcOihInALF8KGDTITqnIBpLpgz5kjTQPqRiJUdYGZMUM6w7iBMdKw9Y475P/BoBSHevppucmkAoEAHHccrFlTnYG4ebP8WzMj8YUX2Mfvl1KqV1whM+/iYvm9ZsyQLiyjRkl8tds3SEVJAKnhEqnC55Mv7qBB3vLXLllSPymjisJCiSt3iylTJAxw925xMQQC8OOPUlt76VL37KrJtGlys46ULh4IsNdzz8FLL0m8fiBQe50gFJKbU58+0WWJbt4MEybIjevii+G999yrI64oUZBagu1V9tnHvg1WZia0bZtce6qoqIDx461vJsXFcOedybfJiieftK8BXgdfebk8rdjF5hsDy5bB66+HH+jLL8U1NGmSpLTPnAm//a1ElKhoKymKCrYTDBpk3+Ha75caFm7w44/2WXzGpE7PwyjFGioF265ZQc3xnn3WfrsxcNFF8tRRc1ZfVCSulbfeitoeRUkmKthO0LKl+IRzc6s7h1clutx/f/L6GtYlLy+8a8BugS7Z9O1bv+O6DVEvlYYT9UWLYNs2621FRdL0WFFSEBVspxgyRMp2Xn45gZ49JVvx44+roxrcoG1b6N7deltWlnsLoXW5+WZnO6vn5clTjx1bttg3MAap6KcoKUjqRIk0Brp1gylTWLdiBd3thDLZ/OtfcMop4iaoimLJzpZY5LFjYePGxBx3yRIJ01uzRiovjholtb6tOOgg+OADcR2tXSuzbWOkW3hhofjg58yJzrecliYNHC691P4zRx5p7ypKT5eFb0VJQXSG3djp2VOiQUaMkNjmzp0lamTxYin0nwgeeghOOkmyCD/+WKJAjjoqfOXF3r0lq3P5cmlGsG2bVCR87TUpN/ub34Q/ZkaGPDUMHCihoeHcPQceKOVWrWb1mZlwww2Rf8dZs+RGlJ0tx+rYUZ4U4knwUZQI6Ay7KdC5s0RiJIM1a+SGUHMhsbxcXsOHi7shXPnYjh2t37/vPqlQWDfiJTdXbghnnQXNm0fvl3/+eRg8WGq2ZGRISGlamoQMHnxw+H3vuUfsqWnLunXwt79JGOXcuXDssdHZoSgNQGfYjZ1QCF55RYpGVTWF+PHHxB3v6aftFzpLS0XoYuGMM+Df/6aiVSsR/ObN5QnhgQdkvaBNm4YtoublSTTIV1/B44/Dyy9LXHbfvuH327JFBNsqVDIUEhfOoEEaGqgkBJ1hN2ZCIQlfmzOnOm55+XIpZ/vf/yamOe1PP9mXyg0GZRZ6yCGxhToOHszq7t3pXloqY/XoIS6MeDj44Mgz6pq89ZbMyMM1Pdi5Ez7/XG4qiuIgOsNuzLz6am2xBhHTwkKJaknELPD448PXny4vh2uusc8MjURamvi7jzkmfrGOhbIy+5j7KtLS7MMGFSUOVLAbM1Om2GcE7tghC49OM2yYLP6FIy1N0sC9SJ8+kQW7pEQWWRXFYVSwGzPhZnlpaYkpqpWfDx99FF60jYl9hu02XbpIuKHd75edLXVaDjggqWYpTQMV7MbMKaeIv9WK0tLEzQIPO0wWF+2SYcrLpWmFV3n2WUmIqvn7paeLiPfrJ+GIVoRC0RWlUhQbVLAbM2PGWPt5c3KkOt1++yXu2CNHyqJb3f6TubniP491BhoKRXZJJJqMDCkatXOnJPq89ZbUIFm5UopO1Y1WWbtW4sOzsuTv0bOnhP6FIxSS+PlFiyLXTlGaDCrYTmMMWcuXw5tvyhfVTQ46CN5+W1LUq0LhsrLgwgsllC2RtGghCSwnnijHbNZMhOzKK6VJQUP54gs49VS6HXmkiF7fvpJo4yZZWVInZsAAOadWMeTr10vSz+zZMrs2RoT4/PPhP/+xHnf2bGjXTppfnHGG1C+fNq1htgUCkrh0++3S5MFuLUPxFBrW5yQrV8Jvf0vH9etFVEpL4YQTpHTnXnu5Y9PJJ0tDiIULZUbYs6fELCeDjh3Fn/3zz7B9u/wcLoLEjoULZbEvEKgu/jRnjkSkLFggLphU5d57pQ553aeC4mLpNXnuubW7/3z4oXTOqVvBcMwYueH97neRj7lgAfTvL6GPhYWyrjB6tEwiTjop/t9JcQ2dYTvFnj3yZVi9Gn9xMezaJdEC8+fLDMxN/H4RtwEDkifWNWnTRkQ1FrEGERurRcqiIkkHT2Vee83eb71tm7SVq8mtt1qXmw0EZFukUMyiIhHrXbtErEH+3b0bzj5brlPFs8Ql2Nu3b+fUU0/l+++/d8oe7zJ9enW7qpqUlcG338ojfWPHGHHB9O8vHYMuuwy+/jq+MYuLxY9rd7z//je+8VMNu98VROC3bw+//8yZ9jeIUEhS7xXPErNgl5eXM378eLKdLIvpZT780D5ULRiUzDcvsXu3uHi2b5eY7br9Kq0YNUrqc7z7rtyknn9eKt+9+mri7Ez1FPCBA+1rfe+zT/1a6eF6UYZCkXtVrl5t768uKoJVq8Lvr6Q0MQv2pEmTGDp0KK1bt3bSHu/SunX9iIgqMjLc82E3lD17JPmldWspQ7rPPvJq2RJuusk+YmHBAinlWlMsgkG5iV12Wexx1zk50KuX9TafT4o+pTK33WYdLZOTA//8Z/3u9cOGWYdi+v3SezKSW+mgg+w/k5trX+JW8QQ+Yxo+RZk1axY///wzV199NQUFBUyYMIHOnTvX+szixYvJdaijSUlJScrP5LNWrKDjsGH4LRrJhrKzWfXxx5hYfbgJpNa5NYaOQ4eStXIlfot6IKGsLAJHH816iwiTNrffTsvXXsNnEXIXzMtj0z33sKdfv5hszFm6lPYjR9Y6twYwubn8+MIL+PfsYd+HHyb3q68IZWaye8AAto4aRXCffWI6nlNUnduM9etpPXkyzT74AIJBSrp1Y8uNNxKwqOWStmMHnQYNIm37dvyVN8dQRgYmJ4cfZsygvEOHsMf0FxXR5bTTSLOYZQdzc1kzbx4hm2qJXvieVdGYbQ0EAvTu3dt6o4mBSy+91AwbNswMHz7c9O7d21x00UVmy5YttT6zaNGiWIa2ZPny5Y6NlVBuusmY3FwTkgd1Y9LSjMnJMebll922zJZa53bePGPy88V2u1denjGvvGLMxRfLZ/PzjRk61Jg+fez3yc015vHH4zP0s8+MOeEEE/L75byefroxS5ca8+abco5rHi893Zi2bY3ZujW+Y8ZJves2GDSmvDzyjjt2GHP33cYcfLAxBx1kzJgxxvz0U/QH/vBDY5o1k79V1fnPzzfm/fcbZm8K05htDaedMQl2TYYPH27WrFnToIM2FC/9ccz775vdffoYc9RRxvz+98Z8/bXbFoWl1rn9y1/CizUY4/MZk5VljN9f/Z7fb0x2trys9snJMWbZMmfsXbasWvRCIWMOOMD6mFlZxtxyiyPHjNlWN6/bXbuMeewxY66/3pipU43ZuTPiLl76njVmW8Npp8ZhO83pp7OhTZvUaRHWELKzZYEsXPq0MfVLi4ZC8l56uvhka3rZsrKkst6RRzpjY0ZG9SLed9/Z10MpLYUXX4y9/rbXad4crrjCbSsUh4k7Dnv69On1/NeKRxk82L72SCSMEeHu2lUWvVq0kBvAmWdK5l4iCAbtF3pB63YojQ5NnGkqbNok9T3y80WUTzpJ+i3WpGtXSR23WxyNFFJmjITzffaZdHBZtQreeCNxhfy7dbMvMJWRAb/9bWKOqyguoYLdFNi6VULjpk+XsLuKCvjkE+jfn7wPP6z92QcflI40Rx1V7SLx+aSB78SJcPTR9sc55hgp23rEEVLr48ADE/t7paVJB5u60Ug+n9x0Uj0LUlEaiAp2U2DyZPH11nURBAK0vfPO2j5nn0+q6S1dKlmG5eXi6tiwQfpBPvCA9Uw7N1fEM9lcdpn0kezYUeq3ZGRI3ZGFC6F9++TboygJRAW7KfDSS7YJL2m7djUs++3kk6WI0KGHikBmZkoa+ptvulfj+uKLpTLixo2SlTl3rrh3rDBGOvG0by/+7333hbvu0hKmiifQKJGmQJi0cuPzRZd2XpPTTxdf9dat8vO++8ZhnEP4fLD33pE/d801Una0KvNy2za4/35xEb3zTv3Mw1j56itavPmmdKg/88zYF3MVpQY6w24KnH++bT0Lk50tXcxjYd99U0Oso2XtWnGf1E2TLy4Wwf7oo/iP8csvUlL3+OPZ7557pFRq27bOjK00eVSwmwLjxkl0SN3ZY04Om2++WRbvmgJvvGG/LRCQyJZ4Oe88aW4cCJAWCEgRre3bpc/jhg3xj680aVSwmwLt28si3Jlnykw7I0OqxE2fzu7zznPbusRTViYiumGDfXsxY+KP2/7mG1mstfKHl5eL71xR4kB92E2Frl2ldnRxsQhK8+Yy416xIolGlAEBoAXgkK84Eo88Im2yQATZbnExP1/afMXDsmX2TyulpRKfrihxoDPspkZOjmQhOrW4FhWbgSFAM2A/oB0wFam51xBKSE//CYiyP+GTT4o7aPdueVX5rn3AKOBd4CHgsEzpiBNvqdZw3Xx8vsTHpSuNHhVsJcHsAY4GZiEz7DLgZ+BG4K4oxyhFFHZvOnc+H9gbGA7sst8lFJJa1FZ1uA3wNdAXuBr4MgQfXhk+zT0aTjvNPhs0Jweuvjq+8ZUmjwq2kmCeBrYDdf3DAWASsDuKMS4CngQC+P3FiIDPBE4BbEISN20K379wYeW/mUBmBWRdCTyG3GBiJC0NXn9dOsRXpcz7/ZJUdN110n3Hi+zZI66l44+XWPt//KO6X6SSVNSHrSSYlxBxtiID+Bg4J8z+y4B5QN3GtGXAWuAd6/1zc8PHl9frrVEOjAZuAKYBBWFsCsPxx0si0rRpFM6ZQ/4hh8BVV0navhfZtk3KEWzZUv20snQpPPywtL3zSielRoLOsJUEE2lOECmkcC71Z+dVFAL/sd7UqpWIpJWvPhP4ndVOpcjN5SogjqbJbdrAhAmsf/JJaZvmVbEGGDMGfvqptmspEID162V9QEkqKthKginAYjpbSRBxa4QjE/vL1A+Eab30xBMSDVMzyzAb2B/4S7hjFiPumiZOKAQzZkhIYl3KyqSYWKo3QW5kqGArCWY40BER3prkIqIYqe9nuBKpOcAl9pu7dYOvv5bFvo4doevBcHseLAFahTumAZZGsMuKIPAWcA1wPdnZy2h4JEwKUVZmLdZVlJTYx7UrCUEFW4mdUCiKGVYO8BkiYi0RF8jhwPOV70WiPeJbrivsucC5QAR3w4EHir/1hx/gu1Vw65fQoqPFeHXZPwrbarKn0pYhwBTgETp0GAkMwnZhNNXJygofiti5c9PJkk0RVLCVhrNggTRAyMiQ17nnwsqVYXZoDjwI7ED80V8DFzTggPcBTwGHEwrlAJ2BycALNDwBpyuyWPk20MFm/zzgugaOOxr4FvGrA4QqI1reQQTcg/h8cPfd9euNg7x3zz3Jt6mJo1EiSsOYPx/69au9CPXWW9K95osv7MuaxoUPGAoM5bvvVjjQL9OH+M7fA05AEnGKKt+vcrNc0IDxSoAXkUXLugSAB4A/RzfUihVS88QYqT9y2GENsCMBFBTA5s1wxx3VBcSCQRHrIUPcta0JooKtNIxrr62fjGKMxOXedhvMnOmOXTHRGfgemI5Eo+wF/B44nobN3H+J8PnNkYcIBmHECHj1Vfm/MTBhgrQ5e+45d10PN94If/qT3JR9PqmJbjXrVhKOCrYSPTt3wvLl1ttCIWlikHS2AP8AXgeygBGI6EYrKPnAnypfsbIP4b2LHSIP8eCDMGuW1HqporxcGhhPmgS33hqHfQ6Qlwf9+7trg6I+bMXLrAUOBf6K+MUXATchi39xZCw2mEzgCsSdUpc8IAqx/dvfrNPoAwFpy5YK4XNbtshN+aOPPN6RPohXo3dUsJXoadlSQuWs8PlgwICkmgN/RBYya/qOA8Aakh9HfT9wBjKzzwSyCYUygcuJmDUZDIoY2rFzp1T7c4uKCrj8cujQAYYNk0XmNm2kQ4+nmA0chmTY5iDZUz+7alFDUcFuLBQWwgcfSAnPRM5+Hn3U2n+Znw/33pu449ZjJ/AJYBUHXIrUHkkmmUjW5WfAvcD9rF37JlIOMII/PC1NMjPtyM+XEDu3uP56eOEFibvetUtqi2zfDhddBF995Z5dDeLfyGLycmR2XYosFPdGbvreQAXb6xgDd94JrVvLAlW/fjL7ef31xBzv1FPh3Xcl3drvF7E580z49FP72XdC2EP4JRi3ihMdiVQiHE15eQNiuf/8Z+tKf1VV/pJaDrcGu3ZJmVord01JifTDjJXCQqnRPndubd+945QD11O/pk0FsmD8zwQe21lUsL3Ogw/CX/8qF/zu3dWzn2HDREQTwUknSQeb4mL50s6ZI53Tk0o7wqal85tkGeIMt90Gp5wii3s+n7zy8qQ/5IQJ7tm1cqX97D4Uiv0amzRJJhmDB8tMvXVrmDo1djvDshjrJzGoDsn0BirYXqaiQuJh7Rar7rgjscfPzLRt7pt40pCCIHkW23KAO5NrTrxkZsLbb4tf+Prr4bo/w1tjYU4eZA1GQg9d8GPvtZd9l56q7Q3lX/+Cu+6qnmTs3i2z7RtvTNCTYaQFRrvtRcBtQGtkctAT22JjSUIF28usXx++1sPnnyfPFle4DhiLCHRzpKNNK8RfeWp0Q8yfLzWe09OlhvWwYXJe3cDnk6eXB+6GBz+FU/4GvtmISFwN9EB890nk4IOl/6cVeXlwTTTlBWpgDIwfbz/J+EvYqlwx0hv7dYRsJCmrLmXAyUiG7lbkZrm08rPuuVBUsL1Ms2bhBTs/P3m2uIIPuAOJxX4dSTffAlwc3e7//a/4/D/9VCI1SkulOl2vXrBxY4Jsjoa7gG+o7YcvRMIYxyTfnBdflLZyNV0jVe6ayy5r2FiFhZI5acfy5QkIYcxEShnUXSxPR+rbWN10XgZWIS6TmgSQ0NEo29Q5jAq2l9lnHzj2WOsFqexs+OMfk2+TK+QDpwMnEnUumDHSWKDuTC8YlIW2++5z2MaG8Bj1hQJk1vcC9vXBE8SRR0rK/Jgx0Ls39OkDTz0lLpyGusSys8O3Yqvy4TvO5cCzwMGI7GUihbkWIy3n6vIs9qKcDryfABsjo4LtdZ56SuKja85+cnOhSxcYO9Y1s1KedevgZ5sY3PJyl1Psw/SqJIh9B58E0rathG0uWgTvvSd1RGJJl8/IgIEDrYU+M7PhM/YGcREyay6ufL2ILF5bEcZvD0jkSfJRwfY6Bx8sj5FjxkihoN69YfJk8V83epdIHASD4WdyrtZ57hxmW0vEV+9hHn5YQk9rhjHm5kpizt13J8GAcE0xqhiEfXmDMqJeI3EYrSXSGGjTRmY/0SauGCOLbc88w/4bNshsaehQ+47frrEZeBRZdMsF/oDPd7QzQx90kCSrWC1+pafDeec5c5yYGI+0KatrWy6S5u5STLZTtGkD33wjT4cvvSQukoICKX6VZxX14wYjkJIHZdR2QeUiPm8rN0riUcFuaoRCMHy4FBUKBGhuDHzyiazcL1gA+ze0cH+iWAUch4hWVTjb13To0BHptxjnzcXng7//XYSiZtJGVfxzQqIVomU4ssB4P5JGbRDRuAKpu90IaNECbrhBXilJPvA5Is5vIDPyPGAc0qjZHdQl0tR47jkR66Ki6tX4wkLYtEnEK2UYgYSw1Yw9LiIraw3wd2cOcdFF4qs+5BCZVaenS9bmggX2oWxJoSr6ZQOyADkV+IGo0twVB2kDvIpch+uQJ74xuPk30Bl2U+Ohh0Ss6xIMSh2STZtkgclVfga+xCqhwe8vRUTsFmcOdc458ioslAUxN2t21GNvwvasVJJEDnE/0TmEzrCbGps22W/LzAwfI5s0diGugHDbHcbtAkuKEgUq2E2NcC2nyspcdgVU0Qm7x07x4hyXTGM8zhrgv8iagJJYPgf6I9m2+yOLx87WZVfBbmrcdpt1edTsbLjkElkMcp1MJJusvp3GZCNfBCU8m5B+lUcimZ89kBvdTy7a5AbrkRIGnZFmF5NJTCXHt5DkrXcRn/fGymMdh8/nXNx8TIJdXl7O2LFjufTSSxk0aBDvvfeeYwYpCWLnTim68+WXUow+Oxvy8wllZ0s43+mnwz8TUSOhAqnFECkRoS63Io1rs6muE7IXP/0kXwIlHEGkyfAXSILIrsp/FyP1MbzcLaYhLAeOQLrWrwVWIIu5vYHdDh4nBIykfhhmCfADLVu+4tiRYlp0nD17Ni1btmTy5Mns3LmTCy64gDPOOMMxoxSHee45uOIKiXctKxNf7UEHwdVXs3nLFtoOGQKHHurwQcuRL8c/ELFOQ8LVHkBCpiLhR8LaxlEdxncshYWrHbazMfIOEtFQV5grgG1ImNoFiND8Fzm/rUhLOyqJNiaDPyDCXHPxuhiJ+JiENJpwgiXYp7EX07LlLMCZUgcxCXb//v3p168fAMYY0tzs6KyEZ9kyEeu6zV1Xr4YZM9j52GO07d49AQe+BCnGVHPW8QxycS8g+oe7FsCZzprWIAxSv2MS8D+gPXAzcCmpG2K3AHvf6R7gU+Qp5VTk0b0IyKZLlxASMnllMoxMMFuRa82qkFQp8DTOCXYJ4a5nn8+5srgxCXZeZTZSYWEho0aN4rrrrrP83IoVK2I2rCYlJSWOjZUMUsnetnfcQfPS0vqXU3k5oc8/x6xahdOWZmauplOnNypD8GpSSjD4LT/99CRFRSfHNHayz+1++91Ly5az8PurbnhfEwpdzs6db7N5821h93XrOthrrzL23TcTv7++GyoUymDr1iDNmg0gJ+d7fL5g5ZZi/H4Iha5j3bq9KClJdkOKhhHp3GZk/MRBB/lt60wFg7tZtcqZv43Pl0PXruWWxwqFMti162S2b3foOjAxsnHjRjNw4EAzc+ZMy+2LFi2Kdeh6LF++3LGxkkFK2dujhzESXFH/1aKF+d/UqQk46IPGmCxjDDavK2MeObnndoUxJsdY/w45xpiVYfd27zrYYIzJNtZ2Zxtj5hn738tvjBmadIsbSuRzW2GM2dvYX4P9HbboXmNMbp1j+IwxLcyqVfMaNFI47Yxp0XHbtm2MHDmSsWPHMmjQIGfuHEpi6NTJvshRRQXlbdok4KBp2LsLfNSPsa5q03QX4jZxotZwBTAXeAlYGeMYr2Bfla0ccLOiXzj2R3ymuVT/HXyVP9+NuKkybfYNIYt1XicNmIB1AadcnO9INA64BynOlYec32OBz6io2M+xo8Qk2NOmTWP37t1MmTKFgoICCgoKKCmxqt+ruM7111sXdfL7oWNHSg85JAEHDVc4KRcYUuPnxUiJyyuQRcprgbbAR3Ec/+PKMS6sHLcXcAYNT7gpxj6ioqJyuxP8gDQsaGgkTTiuA+YAA4HDgN8iIWc3Ah2xvxH5kJrR0fIzcDsSeXEq0srMndKj9bkGEeZmSKRRPnKtvQoc4/CxfEij363AMiSc8DPA4fWhmJ8A4pjWN5SUcjFEQcrZO2GCMTk5xqSniyskP9+Y1q2NWb06gbaOMvUfEXONMecaY0KVnyk2xrQy1o+szYwxO+uNGtne/xlj8izGyzLGnNHA32GeMSbfxr78yu32RLZ1oTGmuxH3RDNjTHNjzGRTfX4SSU9jTJqp/3vlGmPmRznGcmNMS1Pb/ZVnjDnZGFPqsL11jtyg67bYGLPAGLPUGBNMjEFhaOh3zHGXiOIx7rgDFi+Wmtm//z088gj88IM0OUgYDwOPAAchLpB2yCPqa1Q/pr+G/WwsCDwXw3H/YTNmKRId0ZCMv1OR2WndlPWsyvfjqYm8Cpn1r0Bm6nuQELQ7gL/FMW60vI48hVSFWGYQCmUhSUknRjlGAfLUUrtAlzw1PeaMmY6QjbgnjsLruYJa/Kmp0L073H9/Eg/oQ+Jg/xDmM2uw91cHiOxL3YH4kbchmXz9EFG2cy2kI4+rXSOMW4UP8YNfXXmcdMQVMgipoBdPWN99WLtUAoifeRT1bxRO0h74HhHuT4B9WLv2OLp0OSvK/f8HfIt12FwASVb5swN2KjVRwVZcpCOyQGOVKpxDeGGdAfweEc0SxDe+L5J+7MNaSKj8TEPIR/r7/RNJRtkPZzq+zEGeIuxYicwIE0kmkrYuTYvLyxsSerajcn+7tasdcVmmWOPt5wPF41yE/SXoQzIjrfgOSQUuRmZzIUT0/4fMyu1aO+Uiqdmx0AzognPtucKV6wxi/zukCgdjvyDrA45Poi1NBxVsJQq2AhOBAYhQLnBo3FzgTUQEqwQqp/L/r2LfhukRrN0eQWQWfB4yc69yWWQhM+VZSLhXKjAS8a1a0Q65OaQyuUhEj9WNJQdws2NP40VdIkoEFgN9EIGsSsGdgfh1Jzsw/klICNQLyOy4CzKzDtcz7yvsZ3dpSAjbnxA/80ZkVn019h2y3eDPSAjcD1S7FfyIiP8b59PeFyGLmd8ileuuJ/5GshORJ5wnkZtiCJGUZ5AwP8VpVLCVMIQQ8dtd570AIobn4kz36BaIwEZLVyTG1coHbIAOyCP5KfGbljCqegY+DPwLOad9kJmp04W4HkcEugT5+32L+NBvQWKoYyUNaZI8Afld8pCSrioriUJdIkoYPsU+2SSALMS5gV0EhQ9ZFPRK+dV8RKDXIgkoL+C8WG9FGvdW+fpBbmoBZIYcqfrhWiRS5vswn9kbcZedQrVY/wQsBLbEZLVijQq2EobN2F8iBmkS6wZHAX9F3AdVKdb5wD5I6dBUraLnBq9gfz6CSASMFZsRAT4cCWM8AonPDtNiDpAbTx/EtdUPCR+8EGfrTzdd9NlFCcMR2Ce2ZFA/vXcnEn/7HCIGg5DZXesE2HYN4pJ5FhGRY5HwtNRolpo67MQ+Lr0ciWGvS1UDhLXUTsFfiKw5fIe1dJQjLpH1lftV+ebfQlpnfYLeTONDBVsJQ1fEvfAJ9b/0GYhrooptyELTFqq/qA8g/tNFiF/ZaToQnw+2KXAMchOzinXPx9rP/w6yWFt3YTeIuFjeRNY26vJ65fa6+5UiC8UL0HC/+FCXiBKBqkI5uciiUjNkkfA1JO28ir8gM92aiRSlSALFtUmxVLGiD3Jjq1sh0Y/8HS+02GcB9n0P9yA3cCvmhtmvFCnKpcSDzrCVCLRCvmhfAV8ifuK+1C/P+TzW7pMgUiWulMSmWivW+IB5iHvqC+TvVg50Q+LSrf4mrSrft+qUkgnsZXOsFkjkiFX0TibRtYZTwqGCrUTJkZUvOyKV1y1BBdst9gU+RCI9ViMz7nBlPy8G7Lrp+JH2b1YUIMW3rGqkhJDMViUe1CWiOES4uhdtkXrEirt0Rhb/ItVoPgDpd1g3i9GH9Ne0S2o6Aqk/nlfn/dzK8Zwr5N9UUcFWHKKqw0ldqr6sNaMDtiLdZX6DZCE+jfXjd6xsRBoCBCJ9ULHlBuBlanetMcD7yJOWVXQJwENIlNCJiPCfBfyncjwlXlSwFYc4C8nY25vqDh/NkXTomkWcvkdmePchae/zkTTtk4i/g8saJKysc+W/+yIdVuzS2NcgGZaHA6chJVRDNp9tiryK+LtrVj4MIPH3N9vs4wMuQP6u64H/IgufihOoD1txkCGIn3IJsvDUi/qLk79HIkdqCmMRki79dyRdOhZ+QULGfqkcu8qnPhXJ1nyizuc/QOK4S6kW9EVID8iZ6FzGIJmXVgvJ5ZXbnkTjqpNLU78qFcdJB45G4rfrivVWpOaE1Sy2GJgWx3GfQIS/7tgBpMjSzzXeCwJDKz9fc/ZdhMwIZ8dhR2OhgvA9Jmve6JRkoYKtJJGd1I8HrklDm+TW5A3sXSpZSLGoKj7D3r9dSHw3jsZCBtApzPaq1m9KMlHBVpJIB8I/Qv8mjrHrRibUpeaC6I4IdtgtqDU17sF+IfnuJNuigAq2klQygbHYi8CEOMYeiH1zAoMsKlbRG/vH/Uy8uUhmkFofDyOLv0606LoEyVKtOq8+xOV1C/ax2EoiUcFWksxtSDOBbCQzrjnQEgnti7Zbd112IGJvlWGXgdQzqZm00w5JybYqFJVF7RopXmAXEhVzBhK98Wck5nk4UvcjVl/zQqSEbs2yrCAuIy2b6gYq2EqS8SOdajYCLwL/h3z5L45jzKmIf9yKNOB8i/f/haRrV9048hGXzbPIIuXNSPxwuEa5qcIwpGxAEfLkEEAiOZ5Hzms7JISyoVxROWbNsL4KqlvGKclGw/oUl2iFFL13gpnYp8ZnIjPF0+u8n4WI82SkTsreyGz0EkSky5EbQRuklkqqZun9BLyHvYsnUPk6A4mLjraJ8CakjKoVVWF9D0dtpeIMOsNWGgGRLuNwjXf3Q5J+dgD3I8JfFXu8B+m5OCReAxPIaqKr0VKBZCBGSynhz1u4kD8lUahgK42AAsI3Ljg2ijH+hnWoXwUyQ18Xg13J4ACiE88ixG0SLe2xr//iR2qKKMlGBVtpBPwR8dPWTdTJRWpbRDMDDdfbMAv4MSbLEk8XJLU+3GwY5Hfo2IBx/chNzCqiJwe4swFjKU6hgq00AvKRWs+XIz5aP1I98GVgZJRjdA2zrZTwSSRuMxNx7YSLRfcDlzVw3GFIhE1bRLizkPP6HnBYw81U4kYFW3GQXUg1twVYR1fMQr7wOcij/P045wtthdRi3l157KXAOQ3Y/yasZ5MZSMhc+zjtSyQdkEJWU5DFxXSqnzYykPM9FTnnDWUYUuzpW+QpYynRuZiURKCCrThACBG8Nkh8c19kVvZ2jc/cj/iav0IW9n5CSqwOIDUq5J0GjKd+J/YuSEGoVCcH+B3SpmsdktxyAXAd8DUNn13XxI+4U9rEY6DiABrWpzjABCTBooTq8Lo9SJzzx8gM8E7qh94VI8Wg3gHOToahEbgZuBRxpVQlo/TFe/OadqiPuXGigq3ESTHwINYRFsVIPYoLsb/UCpFElVQQbIADgTFuG6Eolnht6qCkHGuwv4wM0mG7bhH8ukTqB6koCqhgK3HTAusi9zW398E+xTsfbc6qKNGhgq3ESXuk5ZdVudIc4CrEhz2U+lEYGchC1qBEGpgkfkR8+X9EQuEK3TQmJtLSdgLXA/sgN9J+SLikkiqoYCsO8CySFVczcSUX6aJ9deXPTyK+4WaIkGchUQwLkMiMhvA+kk6+PxJi9jLhXS6JZipwKNKn8imk4WwHsrLCJeOkGjvo2HEQEhq4neruO6chkSdKKqCCrTjA4cByJITscEREHwU+olqM05Awvu2I33s7IrR7N+hIrVo9C5yHiMhGJMpkJNJMNx7KkNTtb2iY+H+D3IiKqY4pLwJ+4cADryQ1Qhaj4SHS07dRPy4+gDw1uHlDVKpQwVYcoh0wCYn5XYCIqFVKeEblZyN1iLFiK61bP0T9iJQiJNIklhKiIDeX1shs8jgkUuSdKPf9J3bJP37/buSm5QWew++3S2Lahn3lPiWZxCzYoVCI8ePHM2TIEAoKCli3LlWL4yiNh9cxxu6SLUFEu6E8jiSZ7EJix4uQpJ6LkKJPkVhN+JrZ/4vBJjcIl3Hqj7BdSRYxC/bcuXMpKytjxowZjBkzhvvvv99JuxTFgkJ8PrvuKSHEl3wr9s14rfa5HesY8kDltkgcRfhmtIdEaYvbnIMxdrHy6YiPXnGbmAV78eLFnHzyyQD06NGDb775xjGjFMWaU4hco/khpFlBNG2xNiKzajs+jWKMa7AW7DQqKtoCx0QxRiowjlDIavE3F1lM1Ry7VCDmv0JhYSH5+fm//pyWlkZFRQXp6dVDrlixIj7rKikpKXFsrGTgJXu9ZCvkcsABh5GX93UYf2sJweDXbNo0lT17wtds9vt3cvDBFfhtpi0VFZmsXh353OTn/5X99x+LMT78/lJCoWyCwVasXv0IaWkrI+6fOvyLDh0mkp39LeAnGGzG1q3Xs2vXKUBqXSNeum6dtDVmwc7Pz6eoqOjXn0OhUC2xBujevXvsltVgxYoVjo2VDLxkr5dsBVi5chrduj0AvIpdwk5aWoADDvgIaUYbiWOQmXTdKIhM0tNHRnluuiOFl14FNpOWdhRpaX1JS/vOU+d2xQrIzV0C/AIE8Pvb0a6dn3bt3LasPl66bhtq6+LF9ovnMbtEevXqxUcfyQr40qVL6do1XD1hRXEGY/KQ5r0PEb7LTLTNc59AYshrujWykRjv2xpgWTNgBFJAqj/eDsDaCynF6uXfoXES8wz7rLPO4pNPPmHo0KEYY5g4UbsoK8lkIHCjzbZ8YHCU43RHSr5ORrqkZyKlSK9F0uoVJXWIWbD9fj933XWXk7YoSgNohyR0/IvaUR6ZSLp8Q+qTtEdisR91zDpFSQT6zKN4mL8jdZ/3QYQ6GxiO+KTr9ndsDJQh7cCuBu4GFrlrzq+UIglEhyOulEuQBCrFaTRWR/EwfsQtcgMSnpdL+JhoL/MysrBZWuO9u5BQx/9g3d4sGZQh1RiXUv2k8zIwG/g/tLu6s+gMW2kE+BF/c6qIdQj4iObN/0Ps6fI1+Rhpr1Za5/0KJPX9WgeOESvPU1usQX7/AGKzV2qpeAMVbEVxlK+R/ofn0qbNXcCpSDbkT3GMeQf2qeEVSNRMuASgRPIY1pmiIGn+qeK2aRyoYCuKY+xBCkitB/aQllaEiNa3iNsg1op3kWbpacR3Q4iHcDcKP16sC57KqGArimM8T323BUhM+EakjncsNI+wvQL3Opr3w36BtxTolURbGj8q2IriGJ8hM2oryhBfbyxcib1/3oc0MG4Z49jxcj3WZXRzkRrlLZNqTWNHBVtRHGN/7IU1E6m5HQs3ICFzVoWvOiPdfNziQGTh81Ak87Q5ItbXIslIipNoWJ+i1ONLJCzNAOcCR0e530jgYaxrnBgkOzMWcpHZ+/PAI8AmJNlnFBLz7PbXuAfip18D7ESyR2NpUKFEwu2/tKKkEBXAEKTbTEnlew8g5VpnETlssAswEalBUor4rjMqXy8gKfOxkoXcEEbGMUai6eK2AY0edYkoyq/8FRHrABI/HEJ80u8hmYXRcB3wCTCCoqJjkHrZXwHnO22s0gRRwVaUX7HqFwnSweZRog/L6wE8yf/+9+/KMTs7YZyiqGArihBCms3asYdqN4miuIMKtpIiGOBtqhf5rgN+SOLx/UgRKTuaIcWlFMU9VLCVFMAgpVIHA28i6cxTgCOAD5Nox/VYF1HKQbrX+JJoi5NsQTIhY820VFIFFWwlBZgLzKB20kl55c+DiL57TLzchHSLyUW+Gn4kPO0MouugnmosRPzp7ZEIjg5IGzPFq2hYn5ICTMU+Q7AUScw4PQl2pCOCtgQpDWqA84DfJOHYTvMVUr+k5iLqeqREKzSswYOSKqhgKynA5jDbfMD2ZBlSSc/Kl5e5HYluqUsAGANciHddPE0XdYkoKcApWNejAKnBoQWEGs772PusNwM/J9EWxSlUsJUU4FqsswizEf/xQck1p1EQ7uE5RONsodb4UcFWUoD9gTlIY918pIBQNtAXeMlFu7zMxdiL9hHA3km0RXEK9WErKcJxyKLYAiSB5SgkqkGJjQnA68AvSI0UEJ91LrLIq3gRnWErKYQfOAGpu6FiHR9tkfrblwN7IYk/FyKhftFWH1RSDZ1hK0qjpS2SgDTFbUMUh9AZtqIoikdQwVYURfEIKtiKoigeQQVbURTFI6hgK4qieAQVbEVRFI+ggq0oiuIRVLAVRVE8gibOKI2QCmB25SsbuASpCKjlRBVvo4KtNDJ2ACcB/wMKEZF+DinmPwu95BUvoy4RpZFxDbAGEWuQmtBFwHvAP9wySlEcQQVbaUQUIbPoMottAeDvyTVHURxGBVtpRPwCpIXZviVZhihKQlDBVhoRrQm/sKidaxRvo4KtNCKygKuAHIttucBfkmuOojhMTEvme/bsYezYsRQWFlJeXs4tt9xCz55e7zKtNA4mAj8AbyMLjn4giHQKH+KiXYoSPzEJ9tNPP81xxx3HiBEjWLt2LWPGjOG1115z2jZFiYFM4FVgJTC38ufzkGL+iuJtYhLsESNGkJkpXZeDwSBZWVmOGqUo8dOt8qUojQefMcaE+8DMmTN55plnar03ceJEjjzySLZu3crll1/OrbfeyjHHHFPrM4sXLyY3N9cRI0tKSsjOznZkrGTgJXu9ZCt4y14v2Qresrcx2xoIBOjdu7f1RhMjK1euNGeffbb54IMPLLcvWrQo1qHrsXz5csfGSgZestdLthrjLXu9ZKsx3rK3MdsaTjtjcomsWbOG0aNH8/DDD9Otmz52KoqiJIOYBPuBBx6grKyMe++9F4D8/HymTp3qqGGKoihKbSL6sGNl8eLFiRhWURSl0WPnw06YYCuKoijOopmOiqIoHkEFW1EUxSN4QrD37NnDVVddxfDhwxkyZAhLlixx26SIzJkzhzFjxrhthi2hUIjx48czZMgQCgoKWLdundsmRWTZsmUUFBS4bUZEysvLGTt2LJdeeimDBg3ivffec9skW4LBIOPGjWPo0KFccsklrFq1ym2TIrJ9+3ZOPfVUvv/+e7dNicjAgQMpKCigoKCAcePGxT2eJ9pveC0V/p577mH+/Pl0797dbVNsmTt3LmVlZcyYMYOlS5dy//33p3SkzxNPPMHs2bPJybEq7JRazJ49m5YtWzJ58mR27tzJBRdcwBlnnOG2WZbMmzcPgJdeeomFCxfy0EMPpfR1UF5ezvjx4z2RNFNaWooxhunTpzs2pidm2CNGjGDo0KGAN1Lhe/XqxYQJE9w2IyyLFy/m5JNPBqBHjx588803LlsUnvbt2/Poo4+6bUZU9O/fn9GjRwNgjCEtLVyNbnc588wzufvuuwHYuHEjzZs3d9mi8EyaNImhQ4fSunVrt02JyMqVKykuLmbkyJH87ne/Y+nSpXGPmXIz7Eip8GPHjuXWW291ybra2Nl69tlns3DhQpesio7CwkLy8/N//TktLY2KigrS01PukgCgX79+bNiwwW0zoiIvLw+Qczxq1Ciuu+46dw2KQHp6OjfffDNz5szhkUcecdscW2bNmsVee+3FySefzOOPP+62ORHJzs7mD3/4A4MHD+bHH3/k8ssv55133onrO5Zy387BgwczePDgeu9/99133HDDDdx000316pa4hZ2tXiA/P5+ioqJffw6FQikr1l5k06ZNXHPNNVx66aWcd955bpsTkUmTJnHjjTdy8cUX8+abbzpWB8hJXn31VXw+H5999hkrVqzg5ptvZurUqey7775um2ZJp06d6NChAz6fj06dOtGyZUu2bt1K27axV470xDdUU+Gdp1evXsybN4+zzz6bpUuX0rVrV7dNajRs27aNkSNHMn78eI4//ni3zQnL66+/zubNm7nyyivJycnB5/Ph96emp/T555//9f8FBQVMmDAhZcUa4JVXXmHVqlVMmDCBzZs3U1hYGLe9nhBsTYV3nrPOOotPPvmEoUOHYoxh4sSJbpvUaJg2bRq7d+9mypQpTJkyBZBF01RcKOvbty/jxo1j2LBhVFRUcOutt6aknV5k0KBBjBs3jksuuQSfz8fEiRPjforVTEdFURSPkJrPPoqiKEo9VLAVRVE8ggq2oiiKR1DBVhRF8Qgq2IqiKB5BBVtRFMUjqGAriqJ4BBVsRVEUj/D/LZ3GOBHoFUwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=1.2)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To handle this case, the SVM implementation has a bit of a fudge factor that \"softens\" the margin: that is, it allows some of the points to creep into the margin if that allows a better fit.\n",
    "The hardness of the margin is controlled by a tuning parameter, most often known as `C`.\n",
    "For a very large `C`, the margin is hard, and points cannot lie in it.\n",
    "For a smaller `C`, the margin is softer and can grow to encompass some points.\n",
    "\n",
    "The plot shown in the following figure gives a visual picture of how a changing `C` affects the final fit via the softening of the margin:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=0.8)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "\n",
    "for axi, C in zip(ax, [10.0, 0.1]):\n",
    "    model = SVC(kernel='linear', C=C).fit(X, y)\n",
    "    axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300, lw=1, facecolors='none');\n",
    "    axi.set_title('C = {0:.1f}'.format(C), size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The optimal value of `C` will depend on your dataset, and you should tune this parameter using cross-validation or a similar procedure (refer back to [Hyperparameters and Model Validation](05.03-Hyperparameters-and-Model-Validation.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Face Recognition\n",
    "\n",
    "As an example of support vector machines in action, let's take a look at the facial recognition problem.\n",
    "We will use the Labeled Faces in the Wild dataset, which consists of several thousand collated photos of various public figures.\n",
    "A fetcher for the dataset is built into Scikit-Learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1348, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot a few of these faces to see what we're working with (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 576x432 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 5, figsize=(8, 6))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[],\n",
    "            xlabel=faces.target_names[faces.target[i]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each image contains 62 × 47, or around 3,000, pixels.\n",
    "We could proceed by simply using each pixel value as a feature, but often it is more effective to use some sort of preprocessor to extract more meaningful features; here we will use principal component analysis (see [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb)) to extract 150 fundamental components to feed into our support vector machine classifier.\n",
    "We can do this most straightforwardly by packaging the preprocessor and the classifier into a single pipeline:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "pca = PCA(n_components=150, whiten=True,\n",
    "          svd_solver='randomized', random_state=42)\n",
    "svc = SVC(kernel='rbf', class_weight='balanced')\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the sake of testing our classifier output, we will split the data into a training set and a testing set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n",
    "                                                random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can use grid search cross-validation to explore combinations of parameters.\n",
    "Here we will adjust ``C`` (which controls the margin hardness) and ``gamma`` (which controls the size of the radial basis function kernel), and determine the best model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min 19s, sys: 8.56 s, total: 1min 27s\n",
      "Wall time: 36.2 s\n",
      "{'svc__C': 10, 'svc__gamma': 0.001}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import GridSearchCV\n",
    "param_grid = {'svc__C': [1, 5, 10, 50],\n",
    "              'svc__gamma': [0.0001, 0.0005, 0.001, 0.005]}\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(Xtrain, ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The optimal values fall toward the middle of our grid; if they fell at the edges, we would want to expand the grid to make sure we have found the true optimum.\n",
    "\n",
    "Now with this cross-validated model we can predict the labels for the test data, which the model has not yet seen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "model = grid.best_estimator_\n",
    "yfit = model.predict(Xtest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at a few of the test images along with their predicted values (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 24 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 6)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(Xtest[i].reshape(62, 47), cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[])\n",
    "    axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n",
    "                   color='black' if yfit[i] == ytest[i] else 'red')\n",
    "fig.suptitle('Predicted Names; Incorrect Labels in Red', size=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Out of this small sample, our optimal estimator mislabeled only a single face (Bush’s\n",
    "face in the bottom row was mislabeled as Blair).\n",
    "We can get a better sense of our estimator's performance using the classification report, which lists recovery statistics label by label:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.65      0.73      0.69        15\n",
      "     Colin Powell       0.80      0.87      0.83        68\n",
      "  Donald Rumsfeld       0.74      0.84      0.79        31\n",
      "    George W Bush       0.92      0.83      0.88       126\n",
      "Gerhard Schroeder       0.86      0.83      0.84        23\n",
      "      Hugo Chavez       0.93      0.70      0.80        20\n",
      "Junichiro Koizumi       0.92      1.00      0.96        12\n",
      "       Tony Blair       0.85      0.95      0.90        42\n",
      "\n",
      "         accuracy                           0.85       337\n",
      "        macro avg       0.83      0.84      0.84       337\n",
      "     weighted avg       0.86      0.85      0.85       337\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit,\n",
    "                            target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We might also display the confusion matrix between these classes (see the following figure):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "import seaborn as sns\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d',\n",
    "            cbar=False, cmap='Blues',\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true label')\n",
    "plt.ylabel('predicted label');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This helps us get a sense of which labels are likely to be confused by the estimator.\n",
    "\n",
    "For a real-world facial recognition task, in which the photos do not come pre-cropped into nice grids, the only difference in the facial classification scheme is the feature selection: you would need to use a more sophisticated algorithm to find the faces, and extract features that are independent of the pixellation.\n",
    "For this kind of application, one good option is to make use of [OpenCV](http://opencv.org), which, among other things, includes pretrained implementations of state-of-the-art feature extraction tools for images in general and faces in particular."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "This has been a brief intuitive introduction to the principles behind support vector machines.\n",
    "These models are a powerful classification method, for a number of reasons:\n",
    "\n",
    "- Their dependence on relatively few support vectors means that they are compact and take up very little memory.\n",
    "- Once the model is trained, the prediction phase is very fast.\n",
    "- Because they are affected only by points near the margin, they work well with high-dimensional data—even data with more dimensions than samples, which is challenging for other algorithms.\n",
    "- Their integration with kernel methods makes them very versatile, able to adapt to many types of data.\n",
    "\n",
    "However, SVMs have several disadvantages as well:\n",
    "\n",
    "- The scaling with the number of samples $N$ is $\\mathcal{O}[N^3]$ at worst, or $\\mathcal{O}[N^2]$ for efficient implementations. For large numbers of training samples, this computational cost can be prohibitive.\n",
    "- The results are strongly dependent on a suitable choice for the softening parameter `C`. This must be carefully chosen via cross-validation, which can be expensive as datasets grow in size.\n",
    "- The results do not have a direct probabilistic interpretation. This can be estimated via an internal cross-validation (see the `probability` parameter of `SVC`), but this extra estimation is costly.\n",
    "\n",
    "With those traits in mind, I generally only turn to SVMs once other simpler, faster, and less tuning-intensive methods have been shown to be insufficient for my needs.\n",
    "Nevertheless, if you have the CPU cycles to commit to training and cross-validating an SVM on your data, the method can lead to excellent results."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "jupytext": {
   "formats": "ipynb,md"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
